When a mean is 40 and standard dev. is 7.5, how do you find probability that a given value will be greater than 55.75?

Question

1105 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-12T05:58:32

#P_(x>55.75)=0.0179#

Given -

Mean #mu =40 #
SD #sigma=7.5#

At #x=55.75#

#z=(x-mu)/sigma=(55.75-40)/7.5=15.75/7.5=2.1#

Probability that a given value will be greater than 55.75 = [Area between z=0 and z=#oo#] - [Area between z= 0 and z=2.1]

#P_(x>55.75)=0.5-0.4821=0.0179#
#P_(x>55.75)=0.0179#

enter image source here